A harmonic probe coupled to a large harmonic bath approximates stochastic thermostat behavior with exponential correlation decay when its frequency lies in the bath spectrum, but higher-order coupling terms introduce persistent oscillations and power-law decays.
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Approach to equilibrium for a particle interacting with a harmonic thermal bath
A harmonic probe coupled to a large harmonic bath approximates stochastic thermostat behavior with exponential correlation decay when its frequency lies in the bath spectrum, but higher-order coupling terms introduce persistent oscillations and power-law decays.